Given numbers are 278,509,338,744

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 278,509,338,744 is 8895947736.

Find LCM of 278,509,338,744 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 139 x 509 x 169 x 372 = 8895947736

Therefore, the lowest common multiple of 278,509,338,744 is 8895947736.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

278 x 509 x 338 x 744 = 35583790944

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

278 : 1, 2, 139, 278

509 : 1, 509

338 : 1, 2, 13, 26, 169, 338

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,509,338,744, is 1.

Now, the common factors can be found like this.

278:2x 139

509:509

338:2x 13x 13

744:2x 2x 2x 3x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 35583790944/(1x4)

LCM = 35583790944/4

LCM = 8895947736

Thus, we can understand that the LCM of 278,509,338,744 is 8895947736.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 282, 953, 930, 228
• LCM of 835, 704, 544, 432
• LCM of 228, 200, 455, 173
• LCM of 774, 456, 926, 823
• LCM of 691, 143, 153, 983

1. What is the LCM of 278, 509, 338, 744?

Answer: LCM of 278, 509, 338, 744 is 8895947736.

2. How to calculate the LCM of 278, 509, 338, 744?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 278, 509, 338, 744.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.